Can I get an answer and a how to solve this??

Answer:
D
Step-by-step explanation:
The ratios of corresponding sides are equal, that is
[tex]\frac{BD}{CD}[/tex] = [tex]\frac{AD}{BD}[/tex]
Substitute values
[tex]\frac{h}{16}[/tex] = [tex]\frac{9}{h}[/tex] ( cross- multiply )
h² = 16 × 9 = 144 ( take the square root of both sides )
h = [tex]\sqrt{144}[/tex] = 12 → D